We give the first polynomial-time algorithm for the problem of finding a minimumperimeter k-gon that encloses a given n-gon. Our algorithm is based on a simple structural result, that an optimal k-gon has at least one “flush” edge with the ngon. This allows one to reduce the problem to computing the shortest k-link path in a simple polygon. As a by-product we observe that the minimum-perimeter ...

In this article, we study the regularity of the boundary of sets minimizing a quasi perimeter T (E) = P (E,Ω) + G (E) with a volume constraint. Here Ω is any open subset of Rn with n ≥ 2, G is a lower semicontinuous function on sets of finite perimeter satisfying a condition that G (E) ≤ G (F ) + C |E∆F | among all sets of finite perimeter with equal volume. We show that under the condition β >...

results the data showed that vital signs and physical examination findings are useful screening parameters for predicting chest radiograph findings in outpatient settings. therefore, by implementing a prediction rule, we would be able to determine which patients would benefit from a chest x-ray (sensitivity, 94% and specificity, 57%). conclusion this study's findings suggest that requesting che...

1. INTRODUCTION. Physics often provides mathematics not only with a problem, but also with the idea of a solution. Physical reasoning has traditionally been a fruitful source of mathematical invention, having played a key role in some of the main discoveries of Archimedes, Bernoulli, and Riemann, among many others. In this article we give a much more modest example of a mathematical result that...

In this study, nitrogen fertilizer was applied to corn (Zea mays L.) at conventional (excessive) and recommended levels, and the growth response was assessed by measuring plant height and stem perimeter. Corn plant maximum height was observed in recommended rates of N fertilizer treatment, and the height without N fertilizer was the same as that receiving excess N fertilizer. Stem perimeter was...

We derive formulas for the number of polycubes of size n and perimeter t that are proper in n − 1 and n − 2 dimensions. These formulas complement computer based enumerations of perimeter polynomials in percolation problems. We demonstrate this by computing the perimeter polynomial for n = 12 in arbitrary dimension d.

carpal tunnel syndrome (cts) is the most common entrapment neuropathy. it accounts 90% of all entrapment neuropathies all over the world. ultrasound is a non-invasive, cost effective and available para-clinical method which could be applied for cts diagnosis. cross-sectional area of the median nerve at the level of the inlet is considered as a diagnostic criterion in cts cases. in this study, t...

The XML port scanning technique described in this paper allows an attacker to utilise an XML parser to execute port scanning of systems behind a restrictive perimeter firewall. While the technique relies on some reasonably specific implementation details in order to be exploitable remotely, it is potentially applicable to any application that accepts XML document inputs. Several workarounds exi...

This paper explores proofs of the isoperimetric inequality for 4-connected shapes on the integer grid Z, and its geometric meaning. Pictorially, we discuss ways to place a maximal number unit square tiles on a chess board so that the shape they form has a minimal number of unit square neighbors. Previous works have shown that “digital spheres” have a minimum of neighbors for their area. We here...